Download e-book for iPad: An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu

By Liviu Nicolaescu

This self-contained remedy of Morse idea specializes in purposes and is meant for a graduate path on differential or algebraic topology. The publication is split into 3 conceptually certain components. the 1st half comprises the principles of Morse thought (over the reals). the second one half contains purposes of Morse idea over the reals, whereas the final half describes the fundamentals and a few purposes of advanced Morse concept, a.k.a. Picard-Lefschetz theory.
This is the 1st textbook to incorporate themes similar to Morse-Smale flows, min-max thought, second maps and equivariant cohomology, and intricate Morse conception. The exposition is greater with examples, difficulties, and illustrations, and should be of curiosity to graduate scholars in addition to researchers. The reader is predicted to have a few familiarity with cohomology idea and with the differential and quintessential calculus on soft manifolds.
Liviu Nicolaescu is affiliate Professor of arithmetic at collage of Notre Dame.

Show description

Read Online or Download An Invitation to Morse Theory (Universitext) PDF

Similar geometry & topology books

Craig Smorynski's History of Mathematics: A Supplement PDF

Basic textbooks, trying to conceal 3 thousand or so years of mathematical heritage, needs to inevitably oversimplify with reference to every thing, the perform of that may scarcely advertise a severe method of the topic. To counter this, heritage of arithmetic bargains deeper insurance of key decide upon themes, offering scholars with fabric that can inspire extra serious considering.

Download PDF by LearningExpress LLC: Geometry Success in 20 Minutes a Day

Even if you are new to geometry or simply searching for a refresher, Geometry good fortune in 20 mins an afternoon bargains a 20-step lesson plan that gives fast and thorough guide in functional, serious talents. Stripped of pointless math jargon yet bursting with geometry necessities, Geometry good fortune in 20 mins a Day:• Covers all important geometry talents, from the fundamental construction blocks of geometry to ratio, share, and similarity to trigonometry and past• presents countless numbers of perform routines in attempt structure• Applies geometry abilities to real-world (and real-work) problemsGeometry good fortune in 20 mins an afternoon additionally includes:• A diagnostic pretest to aid pinpoint strengths and weaknesses• distinctive lessons—hundreds of perform routines for the most important perform in fixing geometry difficulties• A important posttest to degree development after the teachings• BONUS!

Download e-book for kindle: Origami Polyhedra Design by John Montroll

This ebook unravels the secret of Geometry in Origami with a distinct method: sixty four Polyhedra designs, each one made up of a unmarried sq. sheet of paper, no cuts, no glue; every one polyhedron the most important attainable from the beginning dimension of sq. and every having an creative locking mechanism to carry its form.

Plain Plane Geometry - download pdf or read online

The booklet constitutes an undemanding path on aircraft Euclidean Geometry, pitched at pre-university or at complicated highschool point. it's a concise publication treating the topic axiomatically, yet because it is intended to be a primary creation to the topic, over the top rigour is refrained from, making it attractive to a more youthful viewers in addition.

Extra info for An Invitation to Morse Theory (Universitext)

Sample text

Download PDF sample

Rated 4.66 of 5 – based on 33 votes